Finding the Third Proportional to 4,468.50 and 5,876.16

Step by Step Solution

1. Step 1: Write the proportion equation
   4,468.50 : 5,876.16 = 5,876.16 : x
2. Step 2: Convert to fraction form
   4,468.50/5,876.16 = 5,876.16/x
3. Step 3: Cross multiply
   4,468.50x = 5,876.16 × 5,876.16
4. Step 4: Simplify right side
   4,468.50x = 34,529,212.27
5. Step 5: Solve for x
   x = 34,529,212.27/4,468.50
6. Step 6: Final answer
   x = 7,727.25